Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2490/269, 8318/2370 quickly i.e. 10355910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2490/269, 8318/2370 is 10355910.
LCM(2490/269, 8318/2370) = 10355910
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2490/269,8318/2370
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 2490,8318
Least Common Multiple of Numerators i.e. LCM of 2490,8318 is 10355910.
GCF of Denominators means GCF of 269,2370 as per the given fractions.
GCF of 269,2370 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2490,8318
2 | 2490, 8318 |
1245, 4159 |
∴ So the LCM of the given numbers is 2 x 1245 x 4159 = 10355910
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 2490,8318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2490,8318) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2490,8318) x common factors =2 x 1 = 2
LCM(2490,8318) = ( 2490 × 8318 ) / 2
LCM(2490,8318) = 20711820 / 2
LCM(2490,8318) = 10355910
Lets's calculate GCF of 269,2370
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10355910/1
Therefore the LCM of Fractions 2490/269,8318/2370 is 10355910
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Factors of 2370
List of positive integer factors of 2370 that divides 2370 without a remainder.
1,2,3,5,6,10,15,30,79,158,237,395,474,790,1185,2370
Greatest Common Factor
We found the factors 269,2370 . The biggest common factor number is the GCF number.
So the greatest common factor 269,2370 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 2490/269, 8318/2370?
Answer: LCM of Numerators as per given numbers 2490/269, 8318/2370 is
LCM of Numerators i.e. for 2490,8318 is 10355910
GCF of denominators i.e. for 269,2370 is 1.
Thus, LCM of Fractions is 10355910.Finally, LCM of Fractions for 2490/269, 8318/2370 is 10355910.